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3 years ago

M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.Determine the value of x.

Mathematics

1 answer:

MrRissso [65]3 years ago

3 0

Answer:

x = 5

Step-by-step explanation:

Since both sides are given, set both sides equal to eachother.

3x + 1 = 5x - 9

Segment CM is on the left and segment MB is on the right. From now on, solve for x.

Step 1: Isolate x by itself by subtracting the lesser value

3x + 1 = 5x - 9

-3x -3x the x's on the left cross out

---------------------

1 = 2x - 9

+9 +9 having x on one side

----------------

10 = 2x

__________________________________________________________

Step 2: Divide each side by 2 to get rid of x's coefficient

10 = 2x

/2 /2

----------

5 = x

Solution: x = 5

__________________________________________________________

Solving for CB: Substitute x for both sides since x = 5

3(5) + 1 = side CM

15 + 1 = side CM

16 = side CM

__________________________________________________________

Solving for CB: Solve for the other side (segment MB)

5(5) - 9 = side MB

25 - 9 = side MB

14 = side MB

__________________________________________________________

Solving for CB: Lastly, add up the sides

16 + 14 = segment CB

30 = segment CB

__________________________________________________________

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lorasvet [3.4K]

Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = $M$

Let weight on Earth be = $E$

Its known that:

$M$ ∝ $E$

Thus

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where $k$ is constant of proportionality.

when $E=95\ lb$ , then $M=38\ lb$

thus, we have

$38=k(95)$

dividing both sides by 95.

$\frac{38}{95}=\frac{k(95)}{95}$

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Thus when $E= 100$ , $M$ would be calculated as

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$M=\frac{3800}{95}$

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3 years ago

{[20/(8+2)]^6+6}/(4^2/2)

Naddika [18.5K]

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3 years ago

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3 years ago

Round to the nearest hundredth 42.052

Vera_Pavlovna [14]

42.052

place value and digits:

4 = tens
2 = ones
0 = tenths
5 = hundredths
2 = thousandths

5 is in the hundredths place. To find if you round up or down, look at the digit to the right (thousandths in this case). It is a 2, which is less than 5, so you round down.

42.052 rounded to the nearest hundredth is 42.05

hope this helps

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3 years ago

Tell me how you got the it

stich3 [128]

Answer:

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Step-by-step explanation:

1. The first three diagrams are showing you that opposite exterior angles are congruent. Based on that, when you are faced with opposite exterior angles in the fourth diagram, you are able to conclude they are congruent. That means x° = 67°.

2. You can determine the other angles in the figure based on linear angles being supplementary, and same-side interior angles being supplementary. After you work through all the angles, you find that x = 67.

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3 years ago